S. T. Chorieva, “The Bitsadze–Samarskii problem with the Frankl condition on the degeneration line for a mixed-type equation with singular coefficient”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, Number 5,Pages <nobr>51

The Bitsadze–Samarskii problem with the Frankl condition on the degeneration line for a mixed-type equation with singular coefficient

S. T. Chorieva

Termez State University, Termez, Republic of Uzbekistan

Abstract: We consider the Bitsadze–Samarskii problem with the Frankl condition for the Gellerstedt equation with a singular coefficient and prove its well-posedness.

Keywords: singular coefficient, extremum principle, F. Tricomi singular integral equation, Wiener–Hopf equation.

UDC: 517.956

Received: 20.03.2012